Topics Mathematics, M334, Open University, Euclidean Space, Frame Fields, Shape Operators, Riemannian Geometry, Covariant, Geodesic

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Barrett O'Neill Elementary Differential Geometry Academic Press Inc. 1966

( This was the set book for the Open University course M334 'Differential Geometry'; I have added the old OU course units to the back of the book after the Index )

Acrobat 7 Pdf 25.8 Mb.

Scanned by artmisa using Canon DR2580C + flatbed option

( This was the set book for the Open University course M334 'Differential Geometry'; I have added the old OU course units to the back of the book after the Index )

Acrobat 7 Pdf 25.8 Mb.

Scanned by artmisa using Canon DR2580C + flatbed option

Collection folkscanomy_mathematics; folkscanomy; additional_collections

I used this book in the late 1960s, and it still sits in a carton on a shelf in the basement. It is good as a textbook, requiring very little in terms of prior mathematics, just basic calculus. Personally, I think that the author gave 2-forms only passing attention, concentrating on 1-forms. But his goal is the Gauss-Bonnet Theorem, and he is really interested in arbitrary surfaces embedded in Euclidean 3-space. And the path he takes needs 1-forms.

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